Across 494 ranked games on patch 16.21 in Master and above, Shyvana mains win 49.6% of their games in the jungle.
Their most common build appears in 41.7% of those games and wins 45.1% of its 206 games.
It starts 
Scorchclaw Pup, completes 
Trinity Force, 
Spear of Shojin, 
Death's Dance and 
Jak'Sho, The Protean in that order, and takes 
Plated Steelcaps.
Three other builds are played often enough in the jungle to be measured on their own.
In the jungle, Shyvana mains fare best against 
Hecarim (won 64.3% of 14 games), 
Qiyana (won 56.3% of 16 games) and 
Rengar (won 60.0% of 10 games).
Their hardest matchups, the champions that counter Shyvana, are 
Lee Sin (won 31.3% of 16 games), 
Jarvan IV (won 42.1% of 19 games) and 
Lillia (won 38.5% of 13 games).